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Finding the Third Proportional to 523,986 and 811,584

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Solution

The third proportional to 523,986 and 811,584 is: 1,257,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,986 : 811,584 = 811,584 : x
  2. Step 2: Convert to fraction form
    523,986/811,584 = 811,584/x
  3. Step 3: Cross multiply
    523,986x = 811,584 × 811,584
  4. Step 4: Simplify right side
    523,986x = 658,668,589,056
  5. Step 5: Solve for x
    x = 658,668,589,056/523,986
  6. Step 6: Final answer
    x = 1,257,034.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.